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Finding the Third Proportional to 42,107.34 and 63,155.95

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Solution

The third proportional to 42,107.34 and 63,155.95 is: 94,726.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,107.34 : 63,155.95 = 63,155.95 : x
  2. Step 2: Convert to fraction form
    42,107.34/63,155.95 = 63,155.95/x
  3. Step 3: Cross multiply
    42,107.34x = 63,155.95 × 63,155.95
  4. Step 4: Simplify right side
    42,107.34x = 3,988,674,415.13
  5. Step 5: Solve for x
    x = 3,988,674,415.13/42,107.34
  6. Step 6: Final answer
    x = 94,726.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.